ACARA AC9M9P03, Compare simple and compound events

Year 9 · Probability

Design and run repeated chance experiments and simulations to compare the probabilities of simple and related compound events.

Below are free printable maths worksheets that support AC9M9P03. Print them as PDFs, or generate a fresh one. Every maths answer key is computed in code, so it is never wrong.

Run this with a digital tool

This standard asks students to run repeated chance experiments and simulations with digital tools. Use ChalkBee's interactive probability simulator to run coin flips, die rolls, spinner spins or counter draws, from 10 up to 10,000 trials, and watch the relative frequency converge on the theoretical probability. It also has a conditional-probability mode for dependent events.

Open the probability simulator →

Teaching guide

What students learn

Design and run repeated chance experiments and simulations to compare the probabilities of simple and related compound events.

Worked example

A fair coin is flipped and a fair six-sided die is rolled. What is the probability of getting heads AND rolling a 1? Write your answer as a fraction.

Answer: 1/12

Why: P(heads) x P(rolling 1) = 1/2 x 1/6 = 1/12

Generated and checked in code, so it is correct.

Probability worksheets

All probability worksheets →

Grade 9 Probability

Set A · PDF · answer key with Pro

Make a worksheet for AC9M9P03

More Year 9 Probability codes: AC9M9P01 · AC9M9P02

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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.